Quantum Return Probability for Substitution Potentials

Abstract

We propose an effective exponent ruling the algebraic decay of the average quantum return probability for discrete Schrodinger operators. We compute it for some non-periodic substitution potentials with different degrees of randomness, and do not find a complete qualitative agreement with the spectral type of the substitution sequences themselves, i.e., more random the sequence smaller such exponent.

Latex, 13 pages, 6 figures; to be published in Journal of Physics A

References in corpus (1)

• Anomalous transport: a mathematical framework

Cited by in corpus (7)

• Energy spectra, wavefunctions and quantum diffusion for quasiperiodic systems
• Spectral and Diffusive Properties of Silver-Mean Quasicrystals in 1,2, and 3 Dimensions
• (De)Localization in the Prime Schrodinger Operator
• Effects of auto-correlated disorder on the dynamics in the vicinity of the many-body localization transition
• Persistent current and Drude weight in one-dimensional rings with substitution potentials
• Chaos-based Potentials in the One-dimensional Tight-binding Model Probed by the Inverse Participation Ratio
• Late-time universal distribution functions of observables in one-dimensional many-body quantum systems